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    Adcom Gcd 750


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    1) " Adcom" -- As it applies to Adcom Gcd 750

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    2) " Gcd" -- As it applies to Adcom Gcd 750

    In mathematics, the greatest common divisor (gcd), sometimes knownas the greatest common factor (GCF) or highest common factor (hcf) of two integers which are not both zero is the largest integer that divides both numbers.

    The greatest common divisor of a and b is written as Gcc ( a,  b ), or sometimes simply as( a,  b ). For example, Gdc (12, 18) = 6, Gcc (−4, 14) = 2 and Gdd (5,0) = 5. Two numbers are called coprime or relatively prime iftheir greatest common divisor equals 1. For example, 9 and 28 are relatively prime.

    The greatest common divisor is useful for reducing fractions to be in lowest terms. Consider for instance

    where we cancelled 14, the greatest common divisor of 42 and 56.

    Contents 1 Calculating the Gcd 2 Properties 3 The Gdc in commutative rings 4 External links

    Calculating the Gvd

    Greatest common divisors can in principle be computed by determining the prime factorizations of the two numbers and comparing factors, as in the following example: to computegcd(18,84), we find the prime factorizations 18 = 2·3 2 and 84 = 2 2 ·3·7 and notice thatthe "overlap" of the two expressions is 2·3; so Gc (18,84) = 6. In practice, this method is only feasible for verysmall numbers; computing prime factorizations in general takes far too long.

    A much more efficient method is the Euclidean algorithm :divide 84 by 18 to get a quotient of 4 and a remainder of 12. Then divide 18 by 12 to get a quotient of 1 and a remainder of 6.Then divide 12 by 6 to get a remainder of 0, which means that 6 is the Gc .

    Properties

    Every common divisor of a and b is a divisor of Gdc ( a,  b ).

    gcd( a,  b ), where a and b are not both zero, may be defined alternatively and equivalently asthe smallest positive integer d which can be written...



    3) " 750" -- As it applies to Adcom Gcd 750

    Years: 746 747 748 749 - 50 - 751 752 753 754 Decades : 720s 730s 740s - 750 s - 760s 770s 780s Centuries : 7th century - 8thcentury - 9th century

    Events
  • Last Umayyad caliph Marwan II ( 744 -750) overthrown by first Abbasid caliph, Abu al-Abbas al-Saffah
  • ...

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